We have *f*(*x*) = 3*x*^{2}, *a* = 0, and *b* = 2. We know the function *F*(*x*) = *x*^{3} is an antiderivative of *f*. Starting with the FTC and plugging in the appropriate values and functions, we get Be warned - even if the lower limit of integration is zero, *F*(0) might not be zero. | |